/*
* INSANE - Interactive Structural Analysis Environment
*
* Copyright (C) 2003-2005
* Universidade Federal de Minas Gerais
* Escola de Engenharia
* Departamento de Engenharia de Estruturas
* 
* Author's email :    insane@dees.ufmg.br
* Author's website :  http://www.dees.ufmg.br/insane
* 
* This program is free software; you can redistribute it and/or
* modify it under the terms of the GNU General Public License
* as published by the Free Software Foundation; either version 2
* of the License, or any later version.
* 
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
* GNU General Public License for more details.
* 
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA  02111-1307, USA.
*/
package br.ufmg.dees.insane.shape;
 
import br.ufmg.dees.insane.util.IMatrix;
import br.ufmg.dees.insane.util.IVector;


/**
*A class representing a shape function in natural coords.
*
*@author Fonseca, Flavio & Lucas Marcelo & Pitangueira, Roque & Saliba, Samir
*@version 1.0
*@since September 2003
*/

public interface Shape
{
	/** Returns the IVector containing the values of shape function evalueted in provided points.
	*@param g The array containing the coordinates which the shape function will be evalueted.
	*@param cN The matrix containing nodal coordinates in cartesian system.
	*@return The IVector containing the values of shape function evalueted in provided points.
	*/
	public abstract IVector getShapeFunction(double[] g, IMatrix cN);
	
	/** Returns the IMatrix containing the values of shape function derived and evalueted in provided points.
	*@param g The array containing the coordinates which the shape function will be evalueted.
	*@param cN The matrix containing nodal coordinates in cartesian system.
	*@return The IMatrix containing the values of shape function derived in and evalueted in provided points.
	*/
	public abstract IMatrix getDerivedShapeFunction(double[] g, IMatrix cN);
    
    /** Returns the IMatrix containing the values of shape function derived twice and evalueted in provided points.
    *@param g The array containing the coordinates which the shape function will be evalueted.
	*@param cN The matrix containing nodal coordinates in cartesian system.
    *@return The IMatrix containing the values of shape function derived twice in and evalueted in provided points.
    */
    public abstract IMatrix getSecondDerivedShapeFunction(double[] g, IMatrix cN);
	
	/** Return the IMatrix containing nodal coordinates of this shape in natural system.
	*@return natCoords The IMatrix with nodal coordinates of this shape in natural system.
	*/
	public abstract IMatrix getNaturalNodalCoords();
	
	/** Returns the type of this Shape function.
	*@return a The type of this shape function.
	*/
	public abstract String getType()
	;
	
}
